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arXiv · 2107.02901

Bose-Einstein Condensation and quasicrystals

Moorad Alexanian·Vanik E. Mkrtchian
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Abstract

We consider interacting Bose particles in an external local potential. It is shown that large class of external quasicrystal potentials cannot sustain any type of Bose-Einstein condensates. Accordingly, at spatial dimensions $D\leq 2$ in such quasicrystal potentials a supersolid is not possible via Bose-Einstein condensates at finite temperatures. The latter also hold true for the two-dimensional Fibonacci tiling. However, supersolids do arise at $D\leq 2$ via Bose-Einstein condensates from infinitely long-range, nonlocal interparticle potentials.

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Moorad Alexanian, Vanik E. Mkrtchian. 2021-07-02. Bose-Einstein Condensation and quasicrystals. https://arxiv.org/abs/2107.02901

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